37661140520640 has 3584 divisors, whose sum is σ = 179837423001600. Its totient is φ = 7197893591040.

The previous prime is 37661140520639. The next prime is 37661140520657. The reversal of 37661140520640 is 4602504116673.

37661140520640 is a `hidden beast` number, since 3 + 7 + 6 + 6 + 114 + 0 + 520 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 33716329362 + ... + 33716330478.

It is an arithmetic number, because the mean of its divisors is an integer number (50177852400).

Almost surely, 2^{37661140520640} is an apocalyptic number.

37661140520640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37661140520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89918711500800).

37661140520640 is an abundant number, since it is smaller than the sum of its proper divisors (142176282480960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37661140520640 is a wasteful number, since it uses less digits than its factorization.

37661140520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 37661140520640 in words is "thirty-seven trillion, six hundred sixty-one billion, one hundred forty million, five hundred twenty thousand, six hundred forty".